   Chapter 8.4, Problem 21E

Chapter
Section
Textbook Problem

Finding an Indefinite Integral In Exercises 19–32, find the indefinite integral. ∫ 1 − x 2 x 4 d x

To determine
The solution of the indefinite integral 1x2x4dx.

Explanation

Given: The indefinite integral 1x2x4dx.

Explanation: Because 1x2 is of the form a2x2, use the trigonometric x=sinθ dx=cosθdθ. Hence,

1x2x4dx=1sin2θsin4θcosθdθ=cos2θsin4θdθ=

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